Wilschisma: Difference between revisions

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 == Temperaments ==
-Tempering out this comma in the full 13-limit results in the rank-5 wilschismic temperament.
+Tempering out this comma in the full 13-limit results in the rank-5 '''wilschismic temperament'''. You may find a list of good equal temperaments that support this temperament below. Adding the [[ibnsinma]] and thus the [[symbiotic comma]] to the comma list gives symbiotic (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]), with virtually no additional error, so it is highly recommendable. Otherwise, retracting it to the 2.3.5.13 subgroup gives the rank-3 '''will temperament'''.
+=== Wilschismic ===
+[[Subgroup]]: 2.3.5.7.11.13
+[[Comma list]]: 532480/531441
+[[Mapping]]: <br>
+[{{val| 1 0 0 0 0 -13 }}, <br>
+{{val| 0 1 0 0 0 12 }}, <br>
+{{val| 0 0 1 0 0 -1 }}, <br>
+{{val| 0 0 0 1 0 0 }}, <br>
+{{val| 0 0 0 0 1 0 }}]
+Mapping generators: ~2, ~3, ~5, ~7, ~11
+{{Val list|legend=1| 41, 53, 58, 94, 111, 152f, 212, 217, 270, 581, 851, 1003, 1273, 1854, 2124b, 2599bdef, 2869bde, 3450bde, 3872bbdeef }}
+=== Will ===
+[[Subgroup]]: 2.3.5.13
+[[Comma list]]: 532480/531441
+[[Mapping]]: [{{val| 1 0 0 0 0 -13 }}, {{val| 0 1 0 0 0 12 }}, {{val| 0 0 1 0 0 -1 }}]
+[[Optimal tuning]] ([[CTE]]): ~3/2 = 702.2227, ~5/4 = 386.2658
+{{Val list|legend=1| 41, 53, 164, 217, 270, 422, 475, 528, 745, 798, 1273, 1326, 2071b, 3397bf }}
+[[Badness]]: 0.132 × 10<sup>-3</sup>
 == See also ==